The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.
500(1.2)^7
After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.
That's not possible, and there is no solution. If the integers are consecutive,
then the larger one is precisely one (1) more than the smaller one.
Answer:
82 in
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, add 3 to both sides:
-5 = -6∛(x²)
Next, divide both sides by -6, to isolate ∛(x²):
5/6 = ∛(x²)
Eliminate the radical by cubing both sides:
5³
---- = x²
6³
Finally, take the square root of both sides. This will isolate x. There will be two roots: one +, the other -.
x = ±√(5³/6³)
This simplifies to: ± (5/6)∛(5/6).
Answer:
3. Standard deviation is the square root of the variance.
4. Standard deviation is useful because it has the same units as the underlying data.
Step-by-step explanation:
3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.
4. Standard deviation is measured in the same units as that of the original data. Thus it has the same units as the underlying data.